SOLUTION: It takes one man one day to dig a 2m x 2m x 2m hole. How many days will it take 3 men working at the same rate to dig a 4m x 4m x 4m hole? (A)3/8 (B)2/3 (C)4/3 (D)3/2 (E)8/3

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes one man one day to dig a 2m x 2m x 2m hole. How many days will it take 3 men working at the same rate to dig a 4m x 4m x 4m hole? (A)3/8 (B)2/3 (C)4/3 (D)3/2 (E)8/3      Log On


   



Question 207039: It takes one man one day to dig a 2m x 2m x 2m hole. How many days will it take 3 men working at the same rate to dig a 4m x 4m x 4m hole?
(A)3/8 (B)2/3 (C)4/3 (D)3/2 (E)8/3

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
It takes one man one day to dig a 2m x 2m x 2m hole.
How many days will it take 3 men working at the same rate to dig a 4m x 4m x 4m hole?
:
From the 1st statement we can say:
1 man/day to dig a hole 2^3 = 8 cu meter hole
:
Let d = no. of days for 3 men to dig a 4^3 = 64 cu meter hole
3d = 64%2F8
3d = 8
d = 8%2F3 days for 3 men to dig 4^3 cu/m hole